This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H. Bateman (A. Erdelyi, ed.): Higher Transcendental Functions, vol. 2, McGraw-Hill, 1953.
D.V. Chudnovsky and G.V. Chudnovsky: Elliptic modular functions and elliptic genera, Topology, to appear.
D.V. Chudnovsky and G.V. Chudnovsky: letter dated February 6, 1986.
D.V. Chudnovsky and G.V. Chudnovsky: Elliptic formal groups over Z and Fp in applications to number theory, computer science and topology, in this volume.
D.V. Chudnovsky, G.V. Chudnovksy, P.S. Landweber, S. Ochanine and R.E. Stong: Integrality and divisibility of elliptic genera, to appear.
E. Copson: An Introduction to the Theory of Functions of a Complex Variable, Oxford Univ. Press, 1935.
L. Euler: De integrationis aequationis differentialis \(m dx/\sqrt {1 - x^4 } = n dy/\sqrt {1 - y^4 }\), Opera omnia XX (1), 58–79, Teubner-Füssli, 1911–1976.
B.H. Gross: letter dated April 7, 1986.
J. Igusa: On the transformation theory of elliptic functions, Amer. J. Math. 81 (1959), 436–452.
J. Igusa: On the algebraic theory of elliptic modular functions, J. Math. Soc. Japan 20 (1968), 96–106.
D. Jackson: Fourier Series and Orthogonal Polynomials, Math. Assoc. Amer., 1941.
P.S. Landweber: Elliptic cohomology and modular forms, in this volume.
P.S. Landweber, D.C. Ravenel and R.E. Stong: Periodic cohomology theories defined by elliptic curves, to appear.
P.S. Landweber and R.E. Stong: Circle actions on Spin manifolds and characteristic numbers, Topology, to appear.
S. Lang and H. Trotter: Frobenius Distributions in GL2-Extensions, Lecture Notes in Math. 504, Springer-Verlag, 1976.
A.I. Markushevich: The Remarkable Sine Functions, Elsevier, 1966.
S. Ochanine: Sur les genres multiplicatifs définis par des intégrales elliptiques, Topology 26 (1987), 143–151.
D.C. Ravenel: Complex Cobordism and Stable Homotopy Groups of Spheres, Academic Press, 1986.
J.-P. Serre: Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972), 259–331.
J.H. Silverman: The Arithmetic of Elliptic Curves, Graduate Texts in Math. 106, Springer-Verlag, 1986.
J.H. Wahab: New cases of irreducibilities for Legendre polynomials, Duke J. Math. 19 (1952), 165–176.
E.T. Whittaker and G.N. Watson: A Course of Modern Analysis, fourth edition, Cambridge Univ. Press, 1927.
Ph. Cassou-Noguès and M.J. Taylor: Elliptic Functions and Rings of Integers, Birkhauser Boston, 1987.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Landweber, P.S. (1988). Supersingular elliptic curves and congruences for legendre polynomials. In: Landweber, P.S. (eds) Elliptic Curves and Modular Forms in Algebraic Topology. Lecture Notes in Mathematics, vol 1326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078039
Download citation
DOI: https://doi.org/10.1007/BFb0078039
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19490-3
Online ISBN: 978-3-540-39300-9
eBook Packages: Springer Book Archive